All the solutions provided in **McGraw Hill My Math Grade 4 Answer Key PDF Chapter 13 Lesson 4 Measure Area **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 4 Answer Key Chapter 13 Lesson 4 Measure Area

You know that area is the number of square units needed to cover a region or figure without any overlap.

**Math in My World**

**Example 1**

The Perez family wants to put the sandbox shown in their backyard. What is the area of the sandbox?

One Way:

Count unit squares.

Tile the rectangle with unit squares. Each unit square has an area of one square foot.

There are ______________ unit squares.

There are ______________ square feet.

Another Way:

Multiply.

Multiply the length times the width to find the area.

A = length × width

A = l × w

A = 10 feet × 5 feet

A = ___________ square feet

So, the area of the sandbox is _____________ square feet.

Answer: Given that, the rectangular sandbox.

The length of the box is 10 ft and the width is 5 ft.

We are using two ways, to find the area.

One way,

Count the length and width of unit squares and multiply them.

So, there are 5 x 10 unit squares.

There are 50 square feet.

Another way:

Using the formula way,

The area of a rectangle formula is l x w

Area = 10 ft x 5 ft

A = 50 square feet

So, the area of the rectangular sandbox is 50 square feet.

**Example 2**

The area and the measure of one side of the square are given. Find the measure of the missing side.

A = s × s Write the formula.

64 = 8 × s

Think: 8 times what number equals 64?

s = _____________ meters

The measure of the missing side is _____________ meters.

Answer: S = 8 meters.

Explanation: Given the square, the one side of a square is 8m.

The square has equal sides.

Now, find the area of a square.

The formula for the area of a square is s x s.

A = 8 x 8 = 64 sq . m

We get the given area value.

So, the missing measure of the missing side is 8 meters.

**Talk Math**

Describe two ways to find the area of a square.

Answer:

One Way:

Count unit squares.

Tile the rectangle with unit squares. Each unit square has an area of one square foot.

Another Way:

Multiply.

Multiply the length times the width to find the area.

A = length × width

A = l × w

**Guided Practice**

**Find the area of each square or rectangle.**

Question 1.

A = ______________

Answer: A= 8 x 4 = 32 sq.units

Explanation: Given the rectangle figure,

The figure consists of a length is 8 units and width is 4 units.

Now, find the area of a rectangle.

The area of a rectangle formula is, l x w

So, A = 8 x 4 = 32 sq.units

Question 2.

A = ______________

Answer: 9 square yd

Explanation: Given the square figure, with side is 3 yd.

We will find the area of the square.

The area of a square formula is, s x s

So, A = 3 x 3 = 9 square yard.

### McGraw Hill My Math Grade 4 Chapter 13 Lesson 4 My Homework Answer Key

**Practice**

**Find the area of each figure.**

Question 1.

A = _____________ square millimeters

Answer: 28 square millimeters

Explanation: Given the figure,

The figure is rectangular in shape.

The length and width of the rectangle are 7mm and 4 mm.

We need to find the area of a rectangle.

The formula for the area of a rectangle is, l x w

A = 7 x 4 = 28 sq.mm

Question 2.

A = _____________ square units

Answer: A = 4 Square units

Explanation: Given the square figure,

The side of a square is 2 units.

Now, find the area of a square.

The Area of a square formula is, s x s

A = 2 x 2 = 4 sq. units

Question 3.

A = _____________ square units

Answer: A = 15 square units.

Explanation: The given rectangle figure consists of 5 units and 3 units.

We will find the area of a rectangle.

The Area of a rectangle formula is, l x w

A = 5 x 3 = 15 sq.units.

Question 4.

A = _____________ square units

Answer: A = 25 square units

Explanation: Given the square figure, the side of a square is 5 units.

Now, find the area of a square.

The area of a square formula is, s x s

A = 5 x 5 = 25 sq. units.

**Problem Solving**

Question 5.

**Mathematical PRACTICE** Justify Conclusions One side of a square is 10 units. Which is greater, the number of square units for the area of the square or the number of units for the perimeter? Explain.

Answer: The area of a square will be greater.

Explanation: Given that one side of a square is 10 units.

We will find the area of a square and the perimeter of a square.

The formula for the area of the square is, s x s

A = 10 x 10 = 100 square units.

Now, find the perimeter of a square.

The perimeter of a square is, 4s = 4 x 10 = 40 units.

Comparing the area and perimeter of a square. The area of a square is greater.

Question 6.

Eric created a rectangular patio using 1-foot square paving stones, which are sold in batches by the dozen. The patio measures 7 feet by 8 feet. How many batches of paving stones did Eric need? (Hint: 1 dozen = 12)

Answer: Eric needs 5 Batches of paving stones.

Explanation: Given that, the patio measures are 7 ft and 8ft.

Eric creates a rectangular patio using 1-foot square paving stones.

Now, we will find how many batches of paving stones are needed.

First, multiply 8 and 7 we get the needed stones.

So, 8 x 7 = 56 stones.

The paving stones are sold in batches by the dozen. (1 dozen = 12)

We need to find how many times 12 goes into 56.

But, the 12 cannot go into 56 evenly, so12 x 5=60 which will be more than enough stones for Eric’s patio.

Therefore, Eric needs 5 batches of paving stones for his patio.

**Test Practice**

Question 7.

What is the perimeter of the rectangle?

(A) 22 inches

(B) 24 inches

(C) 26 inches

(D) 28 inches

Answer: (A) 22 inches

Explanation: Given the length of the rectangle is 6 in and the area is 30 sq. in.

Now, we will find the perimeter of the rectangle.

The perimeter of a rectangle formula is 2(l+w)

So, we will find the width value.

The area of a rectangle is l x w

A = l x w

30 = 6 x w

30/6 = w

width = 5

The perimeter of a rectangle is, 2(l+w)

P = 2(6+5) = 2(11)

The perimeter of a rectangle is 22 inches.

So, option C is correct.